My trailer is about the same weight, we load it up pretty good and usually carry at least half a tank of water. Our 2011 F150 pulled it great. The reason I decided to upgrade to a 250 was our payload, I like to be able to haul all my things out camping and not worry about putting too much in the bed of my truck. So with a truck cap on the bed, a fat Labrador, family of four, bunch of firewood, bikes, kayaks, and god knows what else in my truck I like having the extra payload.
Its all about how you want to ride. My friend hauls just as much as me in his 1500 Ram and its slammed to the ground, but it doesn't bother him.